As Gemini told, you can always use a pen drive or an external hard disk to backup your data. Now to back up data, you need to be able to log into some OS. And for that purpose, you can use the Granular LiveCD (or any other livecd for that matter), as long as the problem persists.
Regarding the GRUB error, in 90% cases, it can be solved easily. Just let us know what happened before the error an on which drive/partition have you installed Granular, that is, is it hda3 or hda4 or sda3 or whatever...